Linear Algebra and Its Applications · Problem 3.1.6

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

Find all vectors in

\mathbf{R}^3

that are orthogonal to

(1,1,1)

and

(1,-1,0)

. Produce an orthonormal basis from these vectors (mutually orthogonal unit vectors).